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Finding the Fourth Proportional to 144,163.74, 216,323.16 and 59,982

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Solution

The fourth proportional to 144,163.74, 216,323.16 and 59,982 is: 90,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,163.74 : 216,323.16 = 59,982 : x
  2. Step 2: Convert to fraction form
    144,163.74/216,323.16 = 59,982/x
  3. Step 3: Cross multiply
    144,163.74x = 216,323.16 × 59,982
  4. Step 4: Simplify right side
    144,163.74x = 12,975,495,783.12
  5. Step 5: Solve for x
    x = 12,975,495,783.12/144,163.74
  6. Step 6: Final answer
    x = 90,005.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.